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Finding the Fourth Proportional to 1,588.82, 2,380.62 and 1,125.74

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Solution

The fourth proportional to 1,588.82, 2,380.62 and 1,125.74 is: 1,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.82 : 2,380.62 = 1,125.74 : x
  2. Step 2: Convert to fraction form
    1,588.82/2,380.62 = 1,125.74/x
  3. Step 3: Cross multiply
    1,588.82x = 2,380.62 × 1,125.74
  4. Step 4: Simplify right side
    1,588.82x = 2,679,959.16
  5. Step 5: Solve for x
    x = 2,679,959.16/1,588.82
  6. Step 6: Final answer
    x = 1,686.76

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